有限对数级亚纯函数与整函数的复合  

The Composition of Meromorphic Function and Entire Function of Finite Logarithmic Order

作　　者：涂金[1] 彭淑凤 饶冬飞 TU Jin;PENG Shufeng;RAO Dongfei(College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China;College of Mathematics and Computer Science,Yuzhang Normal University,Nanchang Jiangxi 330103,China)

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022 [2]豫章师范学院数学与计算机学院,江西南昌330103

出　　处：《江西师范大学学报（自然科学版）》2018年第6期587-591,共5页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11561031);江西省自然科学基金(20161BAB201020;20132BAB211002);江西省教育厅基金(GJJ151331)资助项目

摘　　要：利用值分布理论,对复合函数f(g(z))的增长性、零点收敛指数和极点收敛指数进行了研究,其中f(z)为有限对数级整函数或者亚纯函数,g(z)为有限级整函数,所得结果丰富和完善了已有的结果.In this paper,the growth,zeros and poles of composite function f(g(z))are studied by using the value distribution theory,where f(z)is a meromorphic or entire function of finite logarithmic order and g(z)is entire of finite order,and some results are obtained which enrich and improve some previous results.

关 键 词：整函数 亚纯函数 级 有限对数级 对数零点收敛指数 

分 类 号：O174.52[理学—数学]